Local supersymmetry in (2+1) dimensions : II. An action for a spinning membrane

Howe, P. S. and Tucker, Robin (1978) Local supersymmetry in (2+1) dimensions : II. An action for a spinning membrane. Journal of Mathematical Physics, 19 (5). pp. 981-984. ISSN 0022-2488

Abstract

We present a locally supersymmetric action for a spinning membrane. This is obtained by supersymmetrizing the induced volume element action which is reformulated in terms of a three‐dimensional field theory. We also discuss more complex actions which are possible due to the nontriviality of (super) gravity in three dimensions.